1998416326032 has 240 divisors, whose sum is σ = 6440291544960. Its totient is φ = 566657280000.

The previous prime is 1998416326031. The next prime is 1998416326057. The reversal of 1998416326032 is 2306236148991.

1998416326032 is a `hidden beast` number, since 19 + 9 + 8 + 4 + 16 + 3 + 2 + 603 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1998416326032.

It is not an unprimeable number, because it can be changed into a prime (1998416326031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71081194 + ... + 71109302.

It is an arithmetic number, because the mean of its divisors is an integer number (26834548104).

Almost surely, 2^{1998416326032} is an apocalyptic number.

1998416326032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1998416326032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220145772480).

1998416326032 is an abundant number, since it is smaller than the sum of its proper divisors (4441875218928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1998416326032 is a wasteful number, since it uses less digits than its factorization.

1998416326032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28662 (or 28653 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 1998416326032 in words is "one trillion, nine hundred ninety-eight billion, four hundred sixteen million, three hundred twenty-six thousand, thirty-two".